1. a b c
2. a b c
3. a b c
4. a b c
5. a b c
then she eliminated 1 choice in 1 and 2, say as follows
1. b c
2. a b
3. a b c
4. a b c
5. a b c
Probability of answering correctly the first 2, and at least 2 or the remaining 3 is
P(answering 1,2 and exactly 2 of 3.4.or 5.)+P(answering 1,2 and also 3,4,5 )
P(answering 1,2 and exactly 2 of 3.4.or 5.)=
P(1,2,3,4 correct, 5 wrong)+P(1,2,3,5 correct, 4 wrong)+P(1,2,4,5 correct, 3 wrong)
also P(1,2,3,4 c, 5w)=P(1,2,3,5 c 4w)=P(1,2,4,5 c 3w )
so
P(answering 1,2 and exactly 2 of 3.4.or 5.)=3*P(1,2,3,4)=3*1/2*1/2*1/3*1/3*2/3=1/4*2/9=2/36=1/18
note: P(1 correct)=1/2
P(2 correct)=1/2
P(3 correct)=1/3
P(4 correct)=1/3
P(5 wrong) = 2/3
P(answering 1,2 and also 3,4,5 )=1/2*1/2*1/3*1/3*1/3=1/108
Ans: P= 1/18+1/108=(6+1)/108=7/108
(x+y)^2=x^2+y^2+2xy=73+2*24=73+48=121
⇒ (x+y)^2=121
<span>Simplifying
4x = 92
Solving
4x = 92
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '4'.
x = 23
Simplifying
x = 23</span>
TO THE RIGHT izzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
Directional derivative = 1/√2
Step-by-step explanation:
We are given f(x, y) = y cos(xy)
Now, we know that;
∇f(x, y) = ycos xy
Thus, applying that to the question, we have;
∇f(x, y) = [-y² sin xy, cos (xy) - xy sin xy]
At coordinates (0,1),we now have;
∇f(0, 1) = [-1²•sin0, (cos 0) - 0]
∇f(0, 1) = [0, 1]
Now, unit vector indicated by the angle θ is given as; u = [cos θ, sin θ]
From the question, since θ = π/4, thus
u = [cos π/4, sin π/4]
Cos π/4 in surd form is; 1/√2
Also, sin π/4 in surd form is; 1/√2
So, u = [1/√2, 1/√2]
Directional derivative = [∇f(0, 1)] • u
= [0, 1] × [1/√2, 1/√2] = 0 + 1/√2 = 1/√2
